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Global optimality conditions for nonconvex optimization. (English) Zbl 0908.90243
Summary: We give an analytical equivalent for the inclusion of a set to the Lebesgue set of a convex function. Using this result, we obtain global optimality conditions (GOC) related to classical optimization theory for convex maximization and reverse-convex optimization. Several examples illustrate the effectiveness of these optimality conditions allowing to escape from stationary points and local extremums.

MSC:
90C30 Nonlinear programming
49J52 Nonsmooth analysis
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